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Finding the Third Proportional to 366,915 and 788,085

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Solution

The third proportional to 366,915 and 788,085 is: 1,692,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,915 : 788,085 = 788,085 : x
  2. Step 2: Convert to fraction form
    366,915/788,085 = 788,085/x
  3. Step 3: Cross multiply
    366,915x = 788,085 × 788,085
  4. Step 4: Simplify right side
    366,915x = 621,077,967,225
  5. Step 5: Solve for x
    x = 621,077,967,225/366,915
  6. Step 6: Final answer
    x = 1,692,702.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.